If m∠DEF = 117°, find the value of x

Answer:

£170,000

Step-by-step explanation:

En 2010, Rafik adquirió una casa. Supongamos que el precio de compra fue $x. En 2015, Rafik vendió la casa a Bianca obteniendo un 20% de ganancia. Esto se traduce en 20% de x lo que equivale a 0.2 × x = 0.2x. Por tanto, Rafik vendió la casa a Bianca por x + 0.2x = 1.2x. Bianca compró la casa a 1.2x.

La casa fue vendida por Bianca en 2019 con una pérdida del 5%. Esto implica que el 5% de pérdida equivale a 0.05(1.2x) = 0.06x.

Por consiguiente, la venta de la casa por Bianca se realizó a 1.2x - 0.06x = 1.14x. Dado que la casa se vendió por £193,800.

⇒ 1.14x = 193,800

x = 193,800/1.14

x = £170,000

Rafik pagó £170,000 por la casa en 2010.

Density can be defined as:

Where:

m is mass

V stands for volume

To isolate the mass, we derive:

Volume can be expressed as:

We then use the following conversion:

After applying the conversion, we arrive at:

Additionally, we have these conversions:

When we apply these conversions for density, we conclude:

Finally, the mass of the water required is:

Answer:

A total of 1190 kilograms of water is needed to fill the waterbed.

Answer:

Step-by-step explanation:

Let x represent the speed of the first ferry.

Consequently, the second ferry's speed is x-5, as it travels 5 miles per hour slower.

The time taken by the first ferry is calculated as distance divided by speed =

The time taken by the second ferry equals .

Since the second ferry departs one hour earlier, the times differ by 1 hour.

The speed cannot be negative.

Thus, the speed of the first ferry is determined to be 18.5 mph,

and for the second, slower ferry, it equals 13.5 mph.

Answer:

The student should have divided the amount after the discount by the percentage expressed as a decimal.

Step-by-step explanation: